Final answer:
To find the mass of the object, we can use the formula for gravitational force and rearrange it to solve for mass.
Step-by-step explanation:
To find the mass of the object, we need to use the formula for gravitational force: F = GMm/r^2, where F is the gravitational force, G is the gravitational constant, M is the mass of the Earth, m is the mass of the object, and r is the distance between the center of the Earth and the object. Given that the gravitational force is 3.5 N, we can rearrange the formula to solve for m: m = Fr^2/GM.
Substituting the given values, we have m = (3.5 N)(6.371 × 10^6 m)^2 / (6.674 × 10^-11 N·m² kg²)(5.971 × 10^24 kg). Solving this equation gives us m ≈ 35 kg.
Therefore, the correct answer is c) 35 kg.